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Tensor analysis for engineers : transformations and applications

Author: Mehrzad Tabatabaian
Publisher: Dulles, Virginia : Mercury Learning and Information, [2019] ©2019
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

Provides the necessary definitions, formulations, and procedures for tensor analysis and transformations to help engineers and scientists to perform their calculations in arbitrary coordinates  Read more...

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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mehrzad Tabatabaian
ISBN: 9781683922384 1683922387
OCLC Number: 1048790983
Description: 1 online resource (152 pages) : illustrations
Contents: 1. Introduction. 2. Cartesian coordinate system-rotations. 3. Curvilinear and oblique coordinate systems. 4. Basis vectors and scale factors. 5. Contravariant and covariant vectors. 6. Tensor definitions and Metric tensor. 7. Jacobian, covariant and contravariant permutation symbols. 8. Dot and cross products relations for tensors. 9. Transformation for contravariant and covariant tensors. 10. Covariant and contravariant derivatives 11. Grad, Del, Div operators in curvilinear coordinates. 12. Applications: cylindrical, spherical, parabolic, bi-spherical systems 13. Governing equations used in engineering. in arbitrary coordinate systems. 14. Examples. Appendix. References. Index.
Responsibility: Mehrzad Tabatabaian, PhD, PEng.

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